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Simplifying 3(x + -1) = 4(3x + 6) Reorder the terms: 3(-1 + x) = 4(3x + 6) (-1 * 3 + x * 3) = 4(3x + 6) (-3 + 3x) = 4(3x + 6) Reorder the terms: -3 + 3x = 4(6 + 3x) -3 + 3x = (6 * 4 + 3x * 4) -3 + 3x = (24 + 12x) Solving -3 + 3x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + 3x + -12x = 24 + 12x + -12x Combine like terms: 3x + -12x = -9x -3 + -9x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -9x = 24 + 0 -3 + -9x = 24 Add '3' to each side of the equation. -3 + 3 + -9x = 24 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = 24 + 3 -9x = 24 + 3 Combine like terms: 24 + 3 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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